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Solving Quadratic Equations by Completing the Square

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Solving Quadratic Equations by Completing the Square Solving quadratic equations by completing the square is overpowered by an "offspring" of this process, namely, the quadratic formula. The quadratic formula was derived by completing the square on a quadratic equation. Once the quadratic formula was derived, it was no longer necessary to use the process of completing the … [Read more...] about Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations with Complex Roots

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Solving Quadratic Equations with Complex Roots When the roots of a quadratic equation are imaginary, they always occur in conjugate pairs.A root of an equation is a solution of that equation. If a quadratic equation with real-number coefficients has a negative discriminant, then the two solutions to the equation are complex conjugates of each other. (Remember that a … [Read more...] about Solving Quadratic Equations with Complex Roots

Logarithmic Equations

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Logarithmic Equations A logarithmic equation can be solved using the properties of logarithms along with the use of a common base.Properties of Logs:To solve most logarithmic equations: 1. Isolate the logarithmic expression. (you may need to use the properties to create one logarithmic term) 2. Rewrite in exponential form (with a common base) 3. Solve for the … [Read more...] about Logarithmic Equations

Review Factoring Polynomials

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Review Factoring Polynomials This lesson will review the process of factoring, which is used when solving  equations and simplifying rational expressions.To factor polynomial expressions, there are several approaches that can be used to simplify the process. While all of these approaches are not used for each problem, it is best to examine your expression for the possible … [Read more...] about Review Factoring Polynomials